Question

A certain mapping in the xy plane has the following property: Each point P with coordinates (x,y) is mapped to a point P'with coordinates (x-5, y-2).

Which one of the following statements is true?A. The property defines a reflection.B. The property defines a rotation.C. The property defines a translation.

Answer 1

The property described in the question is a translation.

Step-by-step explanation:

The property described in the question is a translation. A translation is a transformation that shifts every point in a plane by the same amount in the same direction. In this case, each point P with coordinates (x,y) is mapped to a point P' with coordinates (x-5, y-2).

For example, if we have a point P at (2,3), it would be mapped to P' at (2-5, 3-2), which is (-3,1).

This transformation does not change the orientation or shape of the figure, but simply moves all the points in the plane by the same amount in the same direction.